380399760 has 640 divisors, whose sum is σ = 1599897600. Its totient is φ = 82114560.

The previous prime is 380399743. The next prime is 380399777. The reversal of 380399760 is 67993083.

It is a happy number.

380399760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (380399743) and next prime (380399777).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12270945 + ... + 12270975.

It is an arithmetic number, because the mean of its divisors is an integer number (2499840).

Almost surely, 2^380399760 is an apocalyptic number.

380399760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380399760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799948800).

380399760 is an abundant number, since it is smaller than the sum of its proper divisors (1219497840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

380399760 is a wasteful number, since it uses less digits than its factorization.

380399760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 380399760 is about 19503.8396219821. The cubic root of 380399760 is about 724.5695486818.

The spelling of 380399760 in words is "three hundred eighty million, three hundred ninety-nine thousand, seven hundred sixty".